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Finding the Fourth Proportional to 1,545.64, 2,134.02 and 1,023.16

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Solution

The fourth proportional to 1,545.64, 2,134.02 and 1,023.16 is: 1,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.64 : 2,134.02 = 1,023.16 : x
  2. Step 2: Convert to fraction form
    1,545.64/2,134.02 = 1,023.16/x
  3. Step 3: Cross multiply
    1,545.64x = 2,134.02 × 1,023.16
  4. Step 4: Simplify right side
    1,545.64x = 2,183,443.90
  5. Step 5: Solve for x
    x = 2,183,443.90/1,545.64
  6. Step 6: Final answer
    x = 1,412.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.